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Figure 4 | Advances in Difference Equations

Figure 4

From: Long time behavior of a tumor-immune system competition model perturbed by environmental noise

Figure 4

The effect of noise on the system for parameter values \(\pmb{\omega =0.15}\) , \(\pmb{\beta =0.001}\) , \(\pmb{\alpha =3.02}\) , \(\pmb{\delta =35}\) , \(\pmb{\sigma =0.3}\) , step size \(\pmb{\Delta t=0.01}\) and initial value \(\pmb{(x(0),y(0))=(1.5,25)}\) . (a) is the path \(y(t)\) for the stochastic model (4) and its corresponding deterministic model (3) with fixed parameter value \(\varepsilon =109\); (b) is the mean time to extinction (MTE) as a function of ε.

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